Understanding Slope

Front

What is the definition of slope?

Back

Slope is defined as the ratio of the rise (vertical change) to the run (horizontal change) between two points on a line.

Tags

CCSS.8.EE.B.5

Front

What does the slope represent in a linear equation?

Back

The slope represents the steepness of the line and the direction of the relationship between the variables.

Tags

CCSS.8.EE.B.5

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.8.EE.B.5

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Tags

CCSS.8.EE.B.5

Front

If a line rises from left to right, what is the sign of its slope?

Back

The slope is positive.

Tags

CCSS.8.EE.B.5

Front

If a line falls from left to right, what is the sign of its slope?

Back

The slope is negative.

Tags

CCSS.8.EE.B.5

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by: y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Find the slope of the line that passes through the points (1, 2) and (3, 6).

Back

The slope is 2.

Tags

CCSS.8.EE.B.5